It takes 87 j of work to stretch an ideal spring, initially 1. 4 m from equilibrium, to a position 2. 9 m from equilibrium. What is the value of the spring constant (force constant) of this spring?.

Answers

Answer 1

The spring undergoes a change in potential energy of

1/2 k (2.9 m)² - 1/2 k (1.4 m)² = 87 J

Solve for k :

k ((2.9 m)² - (1.4 m)²) = 174 J

k = (174 J) / ((2.9 m)² - (1.4 m)²)

k ≈ 27 N/m


Related Questions

In casting experiments performed using a certain alloy.

Answers

Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds

If angle acb is 34 degrees what is the measure of angle adb.

Answers

Answer:

34 because the shape is split.

Explanation:

What are the equations of the asymptotes of the hyperbola? (y+4)236−(x−6)249=1 enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

The point slope form of the asymptote of the hyperbola is; y - 4 = ±(6/7)(x - 6)

We are given the equation of the hyperbola as;

[(y + 4)²/36] - [(x - 6)²/49] = 1

We can rewrite this equation as;

[(y + 1)²/6²] - [(x - 6)²/7²] = 1

The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

Comparing this general form to our given equation we can see that;

k = -4

h = 6

a = 6

b = 7

Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

Plugging in the relevant values gives us;

y = ±(6/7)(x - 6) - 4

>> y - 4 = ±(6/7)(x - 6)

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Answer: y+4=±6/7(x−6)

Explanation: I just took the test. This is the right answer.

English nobles resisted peasant demands such as those described in the passage because agricultural labor in many parts of fourteenth-century afro-eurasia had become scarce as a result of which of the following developments?.

Answers

Answer: Significant increase in mortality due to the spread of epidemic diseases.

Explanation:

During the 14th century, many parts of Europe and Asia were completely ravaged by an epidemic plague called The Black Death. It was a form of bubonic plague caused by rats infected by bacteria.

More than half of the population of Europe was killed due to his plague, which immediately creates a shortage of labor. Shortage of labor, including agricultural ones, immediately meant that the living ones would receive a higher wage, to the consternation of the landowners who pushes for legislation that would return the status quo to how it was prior to the Black Death. This enrages the peasants who worked for them; manifesting in several revolts from May to November 1380.

Caleb draws two triangles and claims that the triangles are congruent.

Answers

Answer:

your question needs more description or an image. I'll help if you comment the rest of the question.

Explanation:

Which of the following is a key strategy for nutrition coaching?.

Answers

Answer:

Add-on sessions for individual nutrition coaching. It's time to become certified in nutrition if you already have fitness clients. …

Provide nutrition coaching for small groups. Nutritional coaching for small groups is similar to personal training. …

Organize a nutrition challenge. You will not only retain more coaching clients when you offer nutrition challenges, but they will also help your clients reach their goals.

Provide nutrition-only coaching. If you're a coach, you know there will always be people asking you questions about nutrition in the gym.

Engage in corporate group work. Coaching corporate groups is one area that coaches simply don't take advantage of enough.

I Hope This Helps You :)

A recipe says to use 3 cups of flour to make 48 cookies.

Answers

Answer: The constant of proportionality that relates the number of cups with x and the number of cookies with y is 16

The given parameters are:

Cups (x) = 3

Cookies (y) = 48

Represent the number of cups with x and the number of cookies with y.

So, the constant of proportionality (k) is calculated using:

The above equation becomes

Divide 48 by 3

Hence, the constant of proportionality is 16

Explanation:

Ken is not satisfied with his thesis statement in sentence 3. Which of the following should replace sentence 3 to provide a more effective thesis statement?.

Answers

Please show more information regarding this question so I may help you.

The bottleneck effect is the loss of genetic diversity that occurs when.

Answers

It occurs when the size of a population is severely reduced.

What spell would newt scamander have used to make his case big enough.

Answers

The Magizoologist in Harry Potter is a man called Newton Scamander. The spell that Newt Scamander can use to make his case big enough is Extension Charm or Capacious extremis.

Capacious extremis when translated means capacity and spacious. This spell helps wizard or witch to alter small enclosures such as like bags and making all kinds of extra invisible space within them.

The Magizoologist Newton Scamander was known to have a magical suitcase that was bewitched with an Undetectable Extension Charm.

He placed a lot of magical beasts while inside it as he traveled.

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A scale factor of one-third is used to make a reduction of the original triangle. Original triangle reduced triangle height 12 base 24 what is the base of the reduced triangle? 4 8 9 21.

Answers

Answer:

B - 8

Explanation:

The linear scale factor is used to reduce or enhance the size of the original measures. The base of the reduced triangle is 8. Thus, option b is correct.

What is a linear scale factor?

The linear scale factor is the reduction or the enlargement of the size like the width, height, base, length, etc. of the geometrical shape.

Given,

The height of the original triangle = 12

The base of the original triangle = 24

The linear scale factor reduces the original size by 1/3 factor.

The 1/3 factor of the base will be = 24 ÷ 3 = 8

Therefore, option b. 8 is the base of the reduced triangle.

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When grading compositions, which measure has the strongest correlation with the overall quality of the writing?.

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Based on writing standards, when grading compositions, the measure that has the strongest correlation with the overall quality of the writing is "length."

Elements of quality writing

Generally, the elements of quality writing include the following:

FocusDevelopmentUnityCoherenceCorrectness.

However, based on research studies, the strongest correlate of quality writing is Length, with a correlation of 0.557.

Hence, in this case, it is concluded that the correct answer is "Length."

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Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark time hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation? mc004-1. Jpg mc004-2. Jpg mc004-3. Jpg mc004-4. Jpg.

Answers

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total charges for for boarding a pet in x days.

Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:

y = 20x + 15

Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:

y = 30x + 5

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

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You are seated in the driver's seat of your parked car, preparing to drive. You must properly fasten your seat belt.

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when we are seated on the drivers seat and about to drive, one safety measure we should endeavour to follow is that we should always fasten our seat belt.

Not only as drivers but as passengers in a vehicle, this will go a long to ensure our safety in the event of a road crash and during impact.

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What is the value of a? 5 units units units 7 units.

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what? what is the question

Based on the diagram, which equation can be simplified to derive the cosine sum identity?.

Answers

Answer: C

Explanation: Trust

Answer: C

Explanation:

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You wish to earn a return of 13% on each of two stocks, x and y. Stock x is expected to pay a dividend of $3 in the upcoming year while stock y is expected to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends for both stocks is 7%. The intrinsic value of stock x.

Answers

Based on the information given, the intrinsic value of stock x will be less than the intrinsic value of stock Y.

Based on the information given above, the intrinsic value of Stock X will be calculated thus:

D1 = Dividend in next year = $3

g = growth rate = 7%

r = = 13%

Therefore, intrinsic value of Stock X will be:

= D1 / (r-g)

= 3 / (13% - 7%)

= 3/6%

= 3 / 0.06

= $50

Therefore, the intrinsic value of stock X is $50.

Intrinsic value of Stock Y will be calculated thus:

D1 = $4

g = 7%

r = 13%

Intrinsic value of Stock Y will be:

= D1 / (r-g)

= 4 / (13% - 7%)

= 4/6%

= 4 / 0.06  

= 66.67

Intrinsic value of Stock Y is $66.67

Therefore, the intrinsic value of Stock X will be less than the intrinsic value of Stock Y.

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Which are the functions of the respiratory system brainly.

Answers

Answer:

Your respiratory system is the network of organs and tissues that help you breathe. This system helps your body absorb oxygen from the air so your organs can work. It also cleans waste gases, such as carbon dioxide, from your blood

Which of the following statements is true about the occupations available to psychologists with a doctoral degree? a. Occupations are limited to social services jobs, mid-level managers, and financial positions. B. Occupations are vast and can include positions in universities, health care, and private industry. C. Occupations are confined to clinical and counseling positions in hospitals, schools, and prisons. D. Occupations are immense but competitive, so psychologists usually work in accounting.

Answers

Answer:

b

Explanation:

the answer is b ,

Occupations are vast and can include positions in universities, health care, and private industry

Answer:

its B

Explanation:

trust me

Which main problem is being solved by the hubble space telescope?.

Answers

Answer:Hubble’s main mirror being polished before installation

The Hubble Space Telescope's primary problem is option D, i.e., trying to identify the brightest stars in the galaxy.

What is a Hubble Space Telescope?

The Hubble Space Telescope is a space telescope that was initiated into low Earth orbit in 1990 and is still active today.

It was not the first space telescope, but it is one of the biggest and most versatile, known for its importance as a research tool as well as a public relations boon for astronomy.

Hubble was intended to be a multi-purpose observatory capable of exploring the universe in visible, ultraviolet, and infrared wavelengths.

To date, the telescope has studied over 40,000 cosmic objects, providing views that astronomers could not obtain from the ground.

The primary challenge for the Hubble Space Telescope is identifying the brightest stars in the galaxy.

Thus, the correct option is D.

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A force of 30 n stretches a very light ideal spring 0. 73 m from equilibrium. What is the force constant (spring constant) of the spring?.

Answers

According to Hooke's law, a 30-N force stretches a spring by 0.73 m if the spring constant k is such that

30 N = k (0.73 m)

k = (30 N) / (0.73 m)

k ≈ 4.1 N/m

What is silhak? a. The most sacred of all korean instruments b. A truly korean style that emphasizes the study of things korean c. A traditional korean male hat d. The korean word for picnic.

Answers

Answer: B

Explanation:

please correct me if I am wrong

Answer:

The answer is B

Explanation:

I got it right on my test have a lovely day!

Which of the following best represents a plan for choosing a cardiofitness activity?.

Answers

Answer:

Either compare multiple aerobic activities and choose an activity suited for personal goals or avoid comparing aerobic activities and choose an activity suited for personal goals.

Which of the following neutral atoms is the least reactive?.

Answers

Answer:

The least reactive elements are the noble gases. Within this group, helium is the least reactive element, forming no stable compounds. Metal can have multiple oxidation states and tend to have intermediate reactivity. Metals with low reactivity are called noble metals.

Which of the following statements are true about checked and unchecked exceptions.

Answers

There are different kinds of programs. The true statement about checked and unchecked exceptions is that the compiler ensures that the program is handling checked exceptions.

A checked exception is known to be often caught at compile time. A runtime or unchecked exception is, is simply known to be at a runtime.

A checked exception is often done using re-throwing but unchecked does not need to be handled.

See full question below

Which of the following statements about checked and unchecked exceptions is true?

A. Checked exceptions are handled by the Java runtime.

B. The compiler ensures that the program is handling unchecked exceptions.

C. The compiler ensures that the program is handling checked exceptions.

D. All exceptions that are descendants of RunTime, Exception are checked exceptions.

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Which best describes the relationship between respiratory and circulatory system.

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Answer:

The respiratory system transports oxygen to cells, while the circulatory system provides oxygen for cells.

Which of the following describes the process of creolization?.

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Answer:

The term creolization describes the process of acculturation in which Amerindian, European, and African traditions and customs have blended with each other over a prolonged period to create new cultures in the New World. ... Since the colonial period, the term has been applied to many aspects of culture.

The process of acculturation known as “Creolization” refers to how Amerindian, European, and African customs and practices have come together over time to form new cultures in the New World. The phrase has been used to refer to a variety of cultural elements since the colonial era.

What best define about process of Creolization?

According to sociologist Robin Cohen, Creolization happens when people choose certain components from an arriving or inherited culture.

Give these new meanings that are distinct from the ones they had in their original civilizations, and then imaginatively combine these to produce new types that replace the earlier forms.

Therefore, Haiti Creole, which was developed by enslaved Africans utilizing vocabulary and syntax from French and African languages, is an illustration of Creolization.

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The gulf stream and global warming reading answers pdf.

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The Gulf Stream simply means the strong ocean current which brings warm water from the Gulf of Mexico till it gets to the Atlantic Ocean.

Your information is incomplete. Therefore, an overview of the topic will be given. It should be noted that the Gulf Stream is a warm ocean current that is in the Western North Atlantic Ocean.

Global warming simply means the long-term heating of the Earth. It's the long-term shift in the weather patterns. This can be a result of the burning of fossil fuels which then produce heat-trapping gases.

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Which of these might affect how an age-of-consent law.

Answers

thiers no choices to chose from.

Which statement best summarizes brown’s message in this essay?.

Answers

Answer:

where the essay?

Explanation:

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